106787464 has 24 divisors (see below), whose sum is σ = 232917390. Its totient is φ = 45765888.

The previous prime is 106787441. The next prime is 106787477. The reversal of 106787464 is 464787601.

It can be written as a sum of positive squares in only one way, i.e., 96864964 + 9922500 = 9842^2 + 3150^2 .

It is a super-2 number, since 2×106787464² = 22807124935102592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106787464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135817 + ... + 136600.

Almost surely, 2^106787464 is an apocalyptic number.

106787464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106787464 is an abundant number, since it is smaller than the sum of its proper divisors (126129926).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106787464 is a wasteful number, since it uses less digits than its factorization.

106787464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272437 (or 272426 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 106787464 is about 10333.8020108767. The cubic root of 106787464 is about 474.4313994044.

The spelling of 106787464 in words is "one hundred six million, seven hundred eighty-seven thousand, four hundred sixty-four".